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                [HNOI2012]矿场搭建                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div style="margin: 0cm 45.3pt 0pt 15.55pt; line-height: 13.25pt" align="left"><span style="font-size: medium"><span style="color: black">煤矿工地可以看成是由隧道连接挖煤点组成的无向图。为安全起见，希望在工地发生事故</span><span style="color: black">时所有挖煤点的工人都能有一条出路逃到救援出口处。于是矿主决定在某些挖煤点设立救援出</span><span style="color: black">口，使得无论哪一个挖煤点坍塌之后，其他挖煤点的工人都有一条道路通向救援出口。</span><span style="color: black">请写一个程序，用来计算至少需要设置几个救援出口，以及不同最少救援出口的设置方案总数。</span></span></div></p><hr/><h3>输入格式</h3><p><p><span style="font-size: medium"><span style="color: black">输入文件有若干组数据，每组数据的第一行是一个正整数</span><span style="color: black"> N</span><span style="color: black">（</span><span style="color: black">N&le;500</span><span style="color: black">），表示工地的隧道数，接下来的</span><span style="color: black"> N </span><span style="color: black">行每行是用空格隔开的两个整数</span><span style="color: black"> S </span><span style="color: black">和</span><span style="color: black"> T</span><span style="color: black">，表示挖</span></span><span style="font-size: medium"><span style="color: black"><span style="font: 7pt 'Times New Roman'">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="color: black">S </span><span style="color: black">与挖煤点</span><span style="color: black"> T </span><span style="color: black">由隧道直接连接。输入数据以</span><span style="color: black"> 0 </span><span style="color: black">结尾。</span></span></p></p><hr/><h3>输出格式</h3><p><p><span style="font-size: medium"><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">输入文件中有多少组数据，输出文件</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> output.txt </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">中就有多少行。每行对应一组输入数据的</span><span style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">结果。其中第</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> i </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">行以</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> Case i: </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">开始（注意大小写，</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">Case </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">与</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> i </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">之间有空格，</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">i </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">与</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">:</span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">之间无空格，</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">: </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">之后有空格），其后是用空格隔开的两个正整数，第一个正整数表示对于第</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> i </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">组输入数据至少需</span><span style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">要设置几个救援出口，第二个正整数表示对于第</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> i </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">组输入数据不同最少救援出口的设置方案总</span><span style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> </span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">数。输入数据保证答案小于</span><span lang="EN-US" style="color: black; font-family: &quot;Times New Roman&quot;; mso-bidi-font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"> 2^64</span><span style="color: black; font-family: 宋体; mso-bidi-font-size: 12.0pt; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">。输出格式参照以下输入输出样例。</span></span></p></p><hr/><h3>样例输入</h3><pre>9                       
1  3                     
4  1
3  5
1  2
2  6
1  5
6  3
1  6
3  2
6 
1  2
1  3
2  4
2  5
3  6
3  7
0 
</pre><hr/><h3>样例输出</h3><pre>Case 1: 2 4
Case 2: 4 1
</pre><hr/><h3>提示</h3><p><div style="margin: 0cm -1.1pt 0pt 15.55pt; line-height: 11.25pt" align="left"><span style="font-size: 10pt; color: black">Case 1 </span><span style="font-size: 10pt; color: black">的四组解分别是</span><span style="font-size: 10pt; color: black">(2,4),(3,4),(4,5),(4,6)</span><span style="font-size: 10pt; color: black">；</span></div>
<div style="margin: 0.75pt -1.1pt 0pt 15.55pt; line-height: 11.25pt" align="left"><span style="font-size: 10pt; color: black">Case 2 </span><span style="font-size: 10pt; color: black">的一组解为</span><span style="font-size: 10pt; color: black">(4,5,6,7)</span><span style="font-size: 10pt; color: black">。</span></div></p><hr/><h3>题目来源</h3><p>day1</p>
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